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Finding the Third Proportional to 70,376 and 102,828.50

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Solution

The third proportional to 70,376 and 102,828.50 is: 150,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,376 : 102,828.50 = 102,828.50 : x
  2. Step 2: Convert to fraction form
    70,376/102,828.50 = 102,828.50/x
  3. Step 3: Cross multiply
    70,376x = 102,828.50 × 102,828.50
  4. Step 4: Simplify right side
    70,376x = 10,573,700,412.25
  5. Step 5: Solve for x
    x = 10,573,700,412.25/70,376
  6. Step 6: Final answer
    x = 150,245.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.